Home
Class 12
MATHS
Every invertible function is (a) monoton...

Every invertible function is (a) monotonic function          (b) constant function (c) identity function          (d) not necessarily monotonic function

Text Solution

Verified by Experts

Answer is
" every invertible function is monotonic function"
Promotional Banner

Topper's Solved these Questions

  • HIGHER ORDER DERIVATIVES

    RD SHARMA|Exercise Solved Examples And Exercises|176 Videos
  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos

Similar Questions

Explore conceptually related problems

Is every invertible function monotonic?

Monotonicity Of Function

Every function is invertible.

Invertible Functions|Exercise Questions|OMR

Invertible Functions|Exercise Questions|OMR

Invertible Functions|Exercise Questions|OMR

Q.The function f(x)=ln[x^(3)+sqrt(x^(6)+1)] is an (a) even function (b) odd function (c) increasing function (d) decreasing function

Illustration Based on Monotonicity OF Function

The composition of any function with the identity function is the function itself.

RD SHARMA-INCREASING AND DECREASING FUNCTION -Solved Examples And Exercises
  1. The function f(x)=x^2\ e^(-x) is monotonic increasing when (a) x in R...

    Text Solution

    |

  2. Function f(x)=cosx-2\ lambda\ x is monotonic decreasing when (a) lambd...

    Text Solution

    |

  3. In the interval (1,\ 2) , function f(x)=2|x-1|+3|x-2| is (a) monotonic...

    Text Solution

    |

  4. Function f(x)=x^3-27 x+5 is monotonically increasing when (a) x<-3 (b...

    Text Solution

    |

  5. Function f(x)=2x^3-9x^2+12 x+29 is monotonically decreasing when (a) x...

    Text Solution

    |

  6. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then k<3 (b) ...

    Text Solution

    |

  7. f(x)=2x-tan^(-1)x-log{x+sqrt(x^2+1)} is monotonically increasing when ...

    Text Solution

    |

  8. Function f(x)=|x|-|x-1| is monotonically increasing when (a) x<0 (b) ...

    Text Solution

    |

  9. Every invertible function is (a) monotonic function          (b) co...

    Text Solution

    |

  10. In the interval (1,\ 2) , function f(x)=2|x-1|+3|x-2| is (a) increasin...

    Text Solution

    |

  11. If the function f(x)=cos|x|-2a x+b increases along the entire number s...

    Text Solution

    |

  12. The function f(x)=x/(1+|x|) is (a) strictly increasing (b) strictly...

    Text Solution

    |

  13. The function f(x)=(lambdasinx+2cosx)/(sinx+cosx) is increasing, if (a)...

    Text Solution

    |

  14. Function f(x)=a^x is increasing on R , if (a) a >0 (b) a<0 (c) 0 lt ...

    Text Solution

    |

  15. Function f(x)=(log)a x is increasing on R , if (a) 0<a<1 (b) a >1 (c...

    Text Solution

    |

  16. Let varphi(x)=f(x)+f(2a-x) and f"(x)>0 for all x in [0,\ a] . Then, va...

    Text Solution

    |

  17. If the function f(x)=x^2-k x+5 is increasing on [2,\ 4] , then (a) k i...

    Text Solution

    |

  18. The function f(x)=-x//2+sinx defined on [-pi//3,\ pi//3] is (a) increa...

    Text Solution

    |

  19. If the function f(x)=x^3-9k\ x^2+27 x+30 is increasing on R , then (a)...

    Text Solution

    |

  20. The function f(x)=x^9+3x^7+64 is increasing on (a) R (b) (-oo,\ 0) (...

    Text Solution

    |